The figure shows a metallic cuboid that measures 148 cm by 22 cm by 22 cm.
- Find the maximum number of 6-cm cubes that can be cut from the metallic cuboid.
- Find the total surface area of the L-shaped block after cutting.
(a)
Number of cubes along the length
= 148 ÷ 6
= 24 r 4
Breath = Height
Number of cubes along the breadth or height
= 22 ÷ 6
= 3 r 4
Maximum number of 6 cm cubes
= 24 x 3 x 3
= 216
(b)
Area of the 2 squares
= 2 x 22 x 22
= 968 cm
2 Area of the top and bottom bases
= 2 x 148 x 22
= 6512 cm
2 Area of 1 L-shaped side
= 148 x 4 + (22 - 4) x 4
= 592 + 72
= 664 cm
2Area of 2 L-shaped sides
= 2 x 664
= 1328 cm
2 Total surface area
= 6512 + 968 + 1328
= 8808 cm
2 Answer(s): (a) 216; (b) 8808 cm
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